Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind of perfume is priced at p dollars per bottle, she will sell

bottles per month at a total cost of C(p) = 0.2p2 + 3p + 200 dollars

a. Express Bea’s profit P(p) as a function of the price p per bottle.

b. At what rate is the profit changing with respect to p when the price is $12 per bottle? Is profit increasing or decreasing at that price?

Transcribed Image Text:

B(p) 500 P + 3 P≥ 5